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Finding the Fourth Proportional to 21,562.84, 29,756.38 and 12,131.42

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Solution

The fourth proportional to 21,562.84, 29,756.38 and 12,131.42 is: 16,741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,562.84 : 29,756.38 = 12,131.42 : x
  2. Step 2: Convert to fraction form
    21,562.84/29,756.38 = 12,131.42/x
  3. Step 3: Cross multiply
    21,562.84x = 29,756.38 × 12,131.42
  4. Step 4: Simplify right side
    21,562.84x = 360,987,082.80
  5. Step 5: Solve for x
    x = 360,987,082.80/21,562.84
  6. Step 6: Final answer
    x = 16,741.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.